{
  "id": "2412.19557",
  "version": "v1",
  "published": "2024-12-27T09:59:37.000Z",
  "updated": "2024-12-27T09:59:37.000Z",
  "title": "On second-order optimality conditions for $C^{1,1}$ optimization problems via Lagrangian functions",
  "authors": [
    "Duong Thi Viet An",
    "Nguyen Van Tuyen"
  ],
  "comment": "20 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "This paper focuses on optimality conditions for $C^{1,1}$-smooth optimization problems subject to inequality and equality constraints. By employing the concept of limiting (Mordukhovich) second-order subdifferentials to the Lagrangian function associated with the problem, we derive new second-order optimality conditions for the considered problem. Applications for multiobjective optimization problems are studied as well. These results extend and refine existing results in the literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-12-27T09:59:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K30",
      "90C46",
      "49J52",
      "49J53",
      "90C56"
    ],
    "keywords": [
      "second-order optimality conditions",
      "lagrangian function",
      "smooth optimization problems subject",
      "equality constraints",
      "second-order subdifferentials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}